Answer
$ h\geq 8$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow h-(-2)\geq 10$
Clear the parentheses.
$\Rightarrow h+2\geq 10$
Subtract $2$ from each side.
$\Rightarrow h+2-2\geq 10-2$
Simplify.
$\Rightarrow h\geq 8$
Hence, the solution is $ h\geq 8$.
Use a close circle because $8$ is a solution.
Shade the number line on the right side.